Greatest Common Factor of 8007/979, 7437/7164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8007/979, 7437/7164

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8007/979,7437/7164

Given fractions are 8007/979,7437/7164

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8007,7437

Greatest Common Factor of Numerators i.e. GCF of 8007,7437 is 3 .

LCM of Denominators means LCM of 979,7164 as per the given fractions.

LCM of 979,7164 is 7013556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8007,7437

GCF of Fractions 8007/979,7437/7164 is 3/7013556

3 8007, 7437
2669, 2479

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8007,7437 By Matching Biggest Common Factor Method

Greatest Common Factor of 8007,7437 By Matching Biggest Common Factor Method

Factors of 8007

List of positive integer factors of 8007 that divides 8007 without a remainder.

1,3,17,51,157,471,2669,8007

Factors of 7437

List of positive integer factors of 7437 that divides 7437 without a remainder.

1,3,37,67,111,201,2479,7437

Greatest Common Factor

We found the factors 8007,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 8007,7437 is 3.

Lets's calculate LCM of 979,7164

Given numbers has no common factors except 1. So, there LCM is their product i.e 7013556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7013556

Therefore, the GCF of Fractions 8007/979,7437/7164 is 3/7013556

Least Common Multiple of 979,7164 with GCF Formula

Least Common Multiple of 979,7164 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 979,7164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,7164) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(979,7164) x common factors =1 x 1 = 1

LCM(979,7164) = ( 979 × 7164 ) / 1

LCM(979,7164) = 7013556 / 1

LCM(979,7164) = 7013556


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8007/979, 7437/7164

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8007/979, 7437/7164?

Answer: GCF of Numerators as per given numbers 8007/979, 7437/7164 is

GCF of Numerators i.e. for 8007,7437 is 3

LCM of denominators i.e. for 979,7164 is 7013556.

Thus, GCF of Fractions is 3/7013556.Finally, GCF of Fractions for 8007/979, 7437/7164 is 3/7013556.